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Finding the Fourth Proportional to 662,562.84, 991,880.80 and 409,028.10

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Solution

The fourth proportional to 662,562.84, 991,880.80 and 409,028.10 is: 612,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,562.84 : 991,880.80 = 409,028.10 : x
  2. Step 2: Convert to fraction form
    662,562.84/991,880.80 = 409,028.10/x
  3. Step 3: Cross multiply
    662,562.84x = 991,880.80 × 409,028.10
  4. Step 4: Simplify right side
    662,562.84x = 405,707,119,050.48
  5. Step 5: Solve for x
    x = 405,707,119,050.48/662,562.84
  6. Step 6: Final answer
    x = 612,330.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.